Comparing Relationships with Equations
This lesson continues the work students did in the previous lesson on comparing proportional and nonproportional relationships. The focus is on students seeing the connection between the form of the equation and the kind of relationship it represents (MP7). Students should see by the end of this lesson that equations of the form \(y = kx\) characterize proportional relationships.
- Compare and contrast (orally) equations that do and do not represent proportional relationships.
- Generalize that an equation equivalent to the form $y=kx$ can represent a proportional relationship.
- Use a table to determine whether a given equation represents a proportional relationship, and justify (in writing) the decision.
Let’s develop methods for deciding if a relationship is proportional.
Calculators can optionally be made available to take the focus off computation.
- I can decide if a relationship represented by an equation is proportional or not.
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